6,663,864

2³ × 3 × 17 × 16333

Starting at 6,663,864, the Collatz iteration reaches 1 after 116 steps. The first transition is 3331932; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 17 × 16333

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 17,640,720

Proper Divisor Sum 10,976,856

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6663863 ← → #6663869

Radix Representation

Decimal	6663864
Binary	11001011010111010111000 (23 bits)
Octal	0o31327270
Hexadecimal	0x65AEB8

Divisor Catalog (32)

1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 16,333 32,666 48,999 65,332 97,998 130,664 195,996 277,661 391,992 555,322 832,983 1,110,644 1,665,966 2,221,288 3,331,932 6,663,864

Collatz Trajectory (116 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

6,663,864 3,331,932 1,665,966 832,983 2,498,950 1,249,475 3,748,426 1,874,213 5,622,640 2,811,320 1,405,660 702,830 351,415 1,054,246 527,123 1,581,370 790,685 2,372,056 1,186,028 593,014 296,507 889,522 444,761 1,334,284 667,142 333,571 1,000,714 500,357 1,501,072 750,536 375,268 187,634 93,817 281,452 140,726 70,363 211,090 105,545 316,636 158,318 79,159 237,478 118,739 356,218 178,109 534,328 267,164 133,582 66,791 200,374 100,187 300,562 150,281 450,844 225,422 112,711 338,134 169,067 507,202 253,601

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